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Finding the Fourth Proportional to 86.22, 128.70 and 75.42

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Solution

The fourth proportional to 86.22, 128.70 and 75.42 is: 112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.22 : 128.70 = 75.42 : x
  2. Step 2: Convert to fraction form
    86.22/128.70 = 75.42/x
  3. Step 3: Cross multiply
    86.22x = 128.70 × 75.42
  4. Step 4: Simplify right side
    86.22x = 9,706.55
  5. Step 5: Solve for x
    x = 9,706.55/86.22
  6. Step 6: Final answer
    x = 112.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.